An alpha particle ${"mathml":"<math class="image_resized" style="width:46px;height:16px"><span style="font-family:$ has a mass of 4.00300 amu. A proton has a mass of 1.00783 amu and a neutron has a mass of 1.00867 amu respectively. The binding energy of alpha particle estimated from these data is the closest to:

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27.9 Me V

22.3 Me V

35.0 Me V

20.4 Me V

answer is A.

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Detailed Solution

Concept: Investigate an alpha particle. Calculate the mass defect of the alpha particle after attempting to identify its component particle. The binding energy may then be calculated using the formula.
An alpha particle

has 2 protons and two neutrons.
Mass defect

Binding energy of alpha particle

B.E

Hence, the correct option is 1.

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